Mathematical pendulum in a rotating plane

Click For Summary
SUMMARY

The discussion centers on the mathematical modeling of a pendulum in a rotating plane, specifically referencing the equation with a=1. Participants suggest searching for terms like "pendulum in rotating reference frame" and "Foucault's Pendulum" for relevant information. The original poster seeks detailed analysis and resources related to this equation, indicating a gap in accessible literature on the subject.

PREREQUISITES
  • Understanding of classical mechanics and pendulum dynamics
  • Familiarity with rotating reference frames
  • Knowledge of differential equations
  • Basic concepts of Foucault's Pendulum
NEXT STEPS
  • Research "pendulum in rotating reference frame" for foundational concepts
  • Study "Foucault's Pendulum" to understand its implications in physics
  • Explore mathematical modeling techniques for dynamic systems
  • Investigate resources on differential equations related to oscillatory motion
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in the dynamics of pendulums and rotating systems will benefit from this discussion.

Deimantas
Messages
38
Reaction score
0
Hello,

I'm looking for information regarding this equation:
1.png

or specifically in my case, when a=1:
2.png
.
This equation supposedly describes a mathematical pendulum in a rotating plane, however, I'm unable to find information on this specific subject. I'd really appreciate it if someone could show me where I could find some info/analysis on this. Thank you.
 
Physics news on Phys.org
Have you tried looking for "pendulum in rotating reference frame" or "Foucaults Pendulum"?
Apart from that, the information you need about that equation should be in the same place you got the equation from.
 

Similar threads

Looking for observed rotation periods of various Foucault pendulums at different latitudes
  • · Replies 6 ·
Replies
6
Views
1K
Foucault Pendulum at the North Pole
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad On whether the motion of a Foucault pendulum bob is comparable to ballistics
  • · Replies 10 ·
Replies
10
Views
3K
Graduate Modeling the damping of a physical rigid pendulum
  • · Replies 1 ·
Replies
1
Views
2K
Derivation of time period for physical pendula without calculus
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Alternative Approach to Solving Foucault's Pendulum Behavior
  • · Replies 8 ·
Replies
8
Views
2K
Compound physical pendulum - max velocity
  • · Replies 19 ·
Replies
19
Views
3K
How Far is the Pendulum from the Axis on a Rotating Platform?
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad How Does Changing Mass and Spring Force Affect Watch Oscillators?
  • · Replies 11 ·
Replies
11
Views
2K
Undergrad Modeling Asteroid Rotation Using Quaternions: Seeking Guidance on Init
  • · Replies 3 ·
Replies
3
Views
2K